Abstract:

The properties extending S-closed spaces are discussed. It is shown that (1) every semi-open regular subspace of a locally S-closed space is locally S-closed. (2)If A is a regular open subset of X, then A is locally S-closed if and only if A is locally S-closed relative to X. (3) Every T2 minimal-locally-S-closed space is Sclosed.

Key words:  locally S-closed spaces; semi-regular set; semi-open set